A cylinder of mass 5 kg and radius 30 cm, free to rotate about its axis, receives an angular impulse of 3 kg ms^(-1) initially followed by a similar impulse after every 4s. What is the angular speed of the cylinder 30 s after the initial impulse if the cylinder is at rest initially ?

A cylinder of mass 5 kg and radius 30 cm, free to rotate about its axi

1.	A cylinder of mass 5 kg and radius 30 cm, free to rotate about its axis, receives an angular impulse of 3 kg ms^(-1) initially followed by a similar impulse after every 4s. What is the angular speed of the cylinder 30 s after the initial impulse if the cylinder is at rest initially ?
Answer» Solution :In 30s the cylinder receives 8 ANGULAR impulses INCLUDING the initial impulse `sum tau XX t=I(omega_(2)-omega_(1))` `8xx3=(MR^(2))/(2)omega_(2)(sin CE omega_(1)=0)` `= (5xx(0.3)^(2))/(2)omega_(2)` On solving `omega_(2)=106.7 rad s^(-1)`.